Question

hether it is arithmetic, geometric, or neither. f uences that are geometric, find the sequence
0, 5, 12, 21, 32, ...

Explanation:

Step1: Check arithmetic sequence

Calculate differences between terms:
$5-0=5$, $12-5=7$, $21-12=9$, $32-21=11$

Step2: Check geometric sequence

Calculate ratios between terms:
$\frac{5}{0}$ (undefined), $\frac{12}{5}=2.4$, $\frac{21}{12}=1.75$, $\frac{32}{21}\approx1.524$

Step3: Classify the sequence

Differences are not constant, ratios are not constant (and first ratio is undefined).

Answer:

The sequence is neither arithmetic nor geometric.